The velocity distribution for laminar flow is given by
U/Umax = 1 -[2y/h]^2
h = dist between plates. origin is midway between plates, Consider the flow of water at 15 degrees C with max speed .005 m/s and h=1mm. Calculate the force on a 1m^2 section of the lower plate and give its direction.
Fluid mechanics is a branch of physics that deals with the study of how fluids (liquids and gases) behave under different conditions, such as when they are in motion or at rest. It involves the study of properties such as pressure, velocity, and density, and how they are related to each other.
The purpose of calculating the force on a lower plate in a fluid mechanics problem is to understand how the fluid is exerting pressure on the plate and how the plate is reacting to this pressure. This information is important in designing and analyzing various systems and structures that involve fluid flow, such as pipes, pumps, and turbines.
The force on a lower plate can be calculated by using the equation F = P * A, where F is the force, P is the pressure exerted by the fluid, and A is the area of the plate. The pressure can be calculated using the Bernoulli's equation or by using the concept of hydrostatic pressure, depending on the specific problem.
The force on a lower plate can be affected by several factors, including the density and velocity of the fluid, the shape and size of the plate, and the angle at which the fluid is hitting the plate. These factors can impact the pressure exerted on the plate, which in turn affects the force.
The calculation of force on a lower plate is used in various real-world applications, such as designing and analyzing the performance of hydraulic systems, aircraft wings, and submarine propellers. It is also used in the design of dams and other structures that involve the flow of water.